History of Computations, Computing Devices, and Mathematics Education from the Teaching and Learning Perspective: Looking for New Paths of Investigation

Author(s):  
Viktor Freiman ◽  
Alexei Volkov
Author(s):  
Yeping Li ◽  
Alan H. Schoenfeld

AbstractMathematics is fundamental for many professions, especially science, technology, and engineering. Yet, mathematics is often perceived as difficult and many students leave disciplines in science, technology, engineering, and mathematics (STEM) as a result, closing doors to scientific, engineering, and technological careers. In this editorial, we argue that how mathematics is traditionally viewed as “given” or “fixed” for students’ expected acquisition alienates many students and needs to be problematized. We propose an alternative approach to changes in mathematics education and show how the alternative also applies to STEM education.


Author(s):  
Suan Yoong ◽  
Lee Yuen Lew

This chapter reviews the Malaysian experience in implementing the Smart School Flagship initiatives, notably in the implementation of information communication technology (ICT) application in science and mathematics education. From a macro perspective, this chapter takes stock of the achievements of the Smart School Flagship in enabling ICT infrastructure and Internet connectivity in Malaysian schools. It attempts to appraise current trends and practice, clarifies emerging issues or challenges that schools face in trying to improve the ways in which ICT is applied to enhance teaching and learning, and identifies promising good practices so that general lessons may be drawn that are of interests to Malaysia and other countries. It does not claim to comprehensively cover every aspect of the initiatives but aims to contribute to current thinking about this topic by presenting a practical and pragmatic evaluation of some of its key features.


2018 ◽  
Vol 22 ◽  
pp. 01037
Author(s):  
Serbay DURAN ◽  
Hüseyin SAMANCI

The aim of this study is to introduce Muḥammad ibn Mûsâ al-Khwârizmî and his works in terms of history of mathematics and mathematics education. Muḥammad ibn Musa al-Khwârizmî an Iraqi Muslim scholar and it is the first of the Muslim mathematicians who have contributed to this field by taking an important role in the progress of mathematics in his own period. He found the concept of Algorithm in mathematics. In some circles, he was given the nickname Abu Ilmi’l-Hâsûb (the father of the account). He carried out important studies in algebra, triangle, astronomy, geography and map drawing. Algebra has carried out systematic and logical studies on the solution of inequalities at second level in the development of the algebra. He with all these studies have contributed to mathematical science and today was a guide to the works done in the field of mathematics.


1996 ◽  
Vol 178 (1) ◽  
pp. 49-59 ◽  
Author(s):  
Fernand J. Prevost

A new view of teaching is emerging from the work of the constructivists and mathematics education reform leaders. In particular, we examine here four aspects of teaching that must change: task selection, guidance of classroom discourse, setting the learning environment, and the analysis of teaching and learning. Several national curriculum projects are working to effect these changes and examples of their work are provided. This work has motivated individual teachers to similarly design investigations that engage students in the study of significant mathematics, and two examples are included. Assessment must also change and students must learn to become less dependent on “authority” for the correctness of answers. Finally, our present understanding of constructivism and its implications for teaching/learning must not be static; though that view now may be at the center, we must listen to those who are on the edges and expect to be changed again and again in the years ahead.


Author(s):  
Luiz Adriano Gonçalves Borges ◽  
Barbara Winiarski Diesel Novaes

O presente trabalho tem por objetivo apresentar alguns elementos metodológicos de utilização de biografias como recurso articulador no ensino de matemática. Argumentamos em torno de um uso ponderativo de biografias ao invés do ornamental, isto é, de uma abordagem histórica que envolve um aprofundamento de conceitos e não somente de temáticas triviais. Apresentaremos uma metodologia que tenha profunda relação com o desenvolvimento histórico das ideias matemáticas e a história da educação matemática. Agindo nesse sentido, objetivamos propor a utilização de biografias de educadores matemático, matemáticos e cientistas como um recurso de aprofundamento em disciplinas dos cursos de licenciatura, mais especificamente no nosso caso, História da Matemática, Filosofia Geral, Tendências em Educação Matemática, Didática Geral e História e Cultura Afro-brasileira. Traçaremos uma breve trajetória da utilização de biografias como metodologia em história, ciências e matemática, procurando perceber como a historicidade do conhecimento científico é importante na elaboração deste tipo de trabalho. Procurando perceber paralelos, vemos que que o desenvolvimento da matemática não é independente do meio-cultural em que está inserido, sendo importante atentar para o contexto histórico da formação das ideias. Utilizamos esse conceitual metodológico no curso de Licenciatura em Matemática da UTFPR campus Toledo, nas disciplinas de História da Matemática, Filosofia Geral e História e Cultura Afro-brasileira (esta optativa), cuja metodologia de trabalho explicaremos neste presente texto. Por fim, ressaltamos o uso potencial da utilização de biografias de educadores matemáticos de renome para serem trabalhados em disciplinas em que prevalecem os saberes para ensinar.Palavras-chave: História da Educação Matemática. História da Ciência. Formação de professores. Biografias.AbstractThis present work aims to present some methodological elements of the use of biographies as an articulating resource in the teaching of Mathematics. We argue about a ponderous use of biographies instead of an ornamental, that is, of a historical approach that involves a deepening of concepts and not only of trivial themes. We will present a methodology that has a deep relation with the historical development of mathematical ideas and the history of mathematical education. Acting in this sense, we aim to propose the use of biographies of mathematical educators, mathematicians and scientists as a deepening resource in disciplines of undergraduate courses, specifically in our case, History of Mathematics, General Philosophy, Trends in Mathematics Education, General Didactics and Afro-Brazilian History and Culture. We will trace a brief trajectory of the use of biographies as methodology in History, Science and Mathematics, trying to understand how the historicity of scientific knowledge is important in the elaboration of this type of work. Looking for parallels, we understand that the development of mathematics is not independent of the cultural environment in which it is inserted, and it is important to look at the historical context of the formation of ideas. We use this methodological concept in the course of Mathematics Degree of the UTFPR campus Toledo, in the disciplines of History of Mathematics, General Philosophy and History and Afro-Brazilian Culture (this optional), whose working methodology will be explained in this text. Finally, we highlight the potential use of the use of biographies of renowned mathematical educators to be worked in disciplines in which the “knowledge to teach” prevails.Keywords: History of Mathematics Education. History of Science. Formation of Professors. Biographies.


2019 ◽  
Vol 29 ◽  
pp. 132-145
Author(s):  
Bed Prasad Dhakal

Mathematical knowledge is indubitable in various sectors, but diversity in culture and tradition in society causes inequality, injustice and backwardness among the students learning mathematics. Study of cultural heritage, customs, behavior in mathematics education is the demand of post-modern paradigm. Efforts of self-organization and co-construction in the initiation of students and teachers through their active participation, interaction and mathematics classroom discourses could be instrumental towards the generation of mathematical knowledge in classroom – which can support to reduce the western domination in mathematics education; and societal negative mind-set about mathematics education will also be minimized in this way. Ethno-mathematics, diversified mathematical strategies, culturally responsive mathematics classroom and enhancing equity in learning mathematics are the major dimensions that mathematics professionals need to exercise for the effective, reflective and contextualized teaching and learning of mathematics. This is a phenomenological study conducted among secondary level mathematics teachers. Using written interview and informal sharing of participants’ experiences towards teaching and learning mathematics, three major themes were developed and discussed. This article primarily shows that there exists the intertwined relation among these themes; and it is essential to properly address these themes for more effective learning of mathematics in the context of Nepalese secondary level classrooms.


Sepren ◽  
2021 ◽  
Vol 2 (2) ◽  
pp. 32-39
Author(s):  
Jonathan Simanjuntak

This study aims to determine the development of mathematics education in Indonesia. The research method used is descriptive method, by presenting a description, clarification of a phenomenon and facts in mathematics. As well as library research (library research). By collecting several books, articles and opinions from experts regarding the development of mathematics and mathematics education which are then developed with various existing findings. The results showed that the development of mathematics was based on philosophy, because philosophy is the root of all human knowledge, both scientific knowledge and non-scientific knowledge. The historical development of mathematics, Babiliona mathematics refers to all mathematics developed by the Mesopotamians since the beginning of Hellenism. At that time the development of mathematics expanded to several countries such as Egypt, Greece, Arabia and India. The development of Mathematics Education in Indonesia is never separated from the history of the curriculum. The importance of mathematics in life is not surprising if mathematics learning has developed and adapted to the needs of the times. The development of mathematics learning in Indonesia is as traditional mathematics, modern mathematics, and modern mathematics.


2018 ◽  
Vol 4 (1) ◽  
pp. 09-18 ◽  
Author(s):  
Martha W. Alibali ◽  
Eric J. Knuth

Collaborations between psychology and mathematics education have the potential to yield progress on critical questions about the teaching and learning of mathematics. In this paper, we describe our experience of collaborating at this boundary. We have found that collaboration has many benefits: it strengthens the research, it is professionally enriching, and it brings novel perspectives to disciplinary communities. However, collaboration is also challenging, because different views about the nature of knowledge and the aims of inquiry can be difficult to bridge. Collaboration can also raise difficult questions about professional identity. We consider several factors that are critical to success in interdisciplinary collaboration, including methodological openness, a broad view of what constitutes “basic” and “applied” research, and an appreciation for diverse perspectives and varying levels of analysis. We close by offering some advice for others who wish to collaborate at the boundary of psychology and mathematics education.


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